dorsal/arxiv
View SchemaSoft two-meson-exchange nucleon-nucleon potentials. I. Planar and crossed-box diagrams
| Authors | Th. A. Rijken, V. G. J. Stoks |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9509029 |
| URL | https://arxiv.org/abs/nucl-th/9509029 |
| DOI | 10.1103/PhysRevC.54.2851 |
| Journal | Phys.Rev.C54:2851-2868,1996 |
Abstract
Pion-meson-exchange nucleon-nucleon potentials are derived for two nucleons in the intermediate states. The mesons we include are (i) pseudoscalar mesons: $\pi, \eta, \eta'$; (ii) vector mesons: $\rho, \omega, \phi$; (iii) scalar mesons: $a_{0}(980), \varepsilon(760), f_{0}(975)$; and (iv) the $J=0$ contribution from the Pomeron. Strong dynamical pair suppression is assumed, and at the nucleon-nucleon-meson vertices Gaussian form factors are incorporated into the relativistic two-body framework using a dispersion representation for the pion- and meson-exchange amplitudes. The Fourier transformations are performed using factorization techniques for the energy denominators. The potentials are first calculated in the adiabatic approximation to all planar and crossed three-dimensional momentum-space $\pi$-meson diagrams. Next, we calculate the $1/M$ corrections.
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"abstract": "Pion-meson-exchange nucleon-nucleon potentials are derived for two nucleons\nin the intermediate states. The mesons we include are (i) pseudoscalar mesons:\n$\\pi, \\eta, \\eta\u0027$; (ii) vector mesons: $\\rho, \\omega, \\phi$; (iii) scalar\nmesons: $a_{0}(980), \\varepsilon(760), f_{0}(975)$; and (iv) the $J=0$\ncontribution from the Pomeron. Strong dynamical pair suppression is assumed,\nand at the nucleon-nucleon-meson vertices Gaussian form factors are\nincorporated into the relativistic two-body framework using a dispersion\nrepresentation for the pion- and meson-exchange amplitudes. The Fourier\ntransformations are performed using factorization techniques for the energy\ndenominators. The potentials are first calculated in the adiabatic\napproximation to all planar and crossed three-dimensional momentum-space\n$\\pi$-meson diagrams. Next, we calculate the $1/M$ corrections.",
"arxiv_id": "nucl-th/9509029",
"authors": [
"Th. A. Rijken",
"V. G. J. Stoks"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.2851",
"journal_ref": "Phys.Rev.C54:2851-2868,1996",
"title": "Soft two-meson-exchange nucleon-nucleon potentials. I. Planar and crossed-box diagrams",
"url": "https://arxiv.org/abs/nucl-th/9509029"
},
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